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54049140 = 22335101991
BaseRepresentation
bin1100111000101…
…1100101110100
310202200222111000
43032023211310
5102314033030
65210243300
71224260445
oct316134564
9122628430
1054049140
1128566a12
1216126530
13b275452
14726d2cc
154b29860
hex338b974

54049140 has 96 divisors (see below), whose sum is σ = 169989120. Its totient is φ = 14256000.

The previous prime is 54049123. The next prime is 54049169. The reversal of 54049140 is 4194045.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54045 + ... + 55035.

It is an arithmetic number, because the mean of its divisors is an integer number (1770720).

Almost surely, 254049140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54049140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84994560).

54049140 is an abundant number, since it is smaller than the sum of its proper divisors (115939980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54049140 is a wasteful number, since it uses less digits than its factorization.

54049140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 54049140 is about 7351.8120215359. The cubic root of 54049140 is about 378.0909330236.

The spelling of 54049140 in words is "fifty-four million, forty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 101 108 135 180 202 270 303 404 505 540 606 909 991 1010 1212 1515 1818 1982 2020 2727 2973 3030 3636 3964 4545 4955 5454 5946 6060 8919 9090 9910 10908 11892 13635 14865 17838 18180 19820 26757 27270 29730 35676 44595 53514 54540 59460 89190 100091 107028 133785 178380 200182 267570 300273 400364 500455 535140 600546 900819 1000910 1201092 1501365 1801638 2001820 2702457 3002730 3603276 4504095 5404914 6005460 9008190 10809828 13512285 18016380 27024570 54049140